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Simplifying 2x + -8 = 5(x + 7) + -3 Reorder the terms: -8 + 2x = 5(x + 7) + -3 Reorder the terms: -8 + 2x = 5(7 + x) + -3 -8 + 2x = (7 * 5 + x * 5) + -3 -8 + 2x = (35 + 5x) + -3 Reorder the terms: -8 + 2x = 35 + -3 + 5x Combine like terms: 35 + -3 = 32 -8 + 2x = 32 + 5x Solving -8 + 2x = 32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 2x + -5x = 32 + 5x + -5x Combine like terms: 2x + -5x = -3x -8 + -3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -3x = 32 + 0 -8 + -3x = 32 Add '8' to each side of the equation. -8 + 8 + -3x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 32 + 8 -3x = 32 + 8 Combine like terms: 32 + 8 = 40 -3x = 40 Divide each side by '-3'. x = -13.33333333 Simplifying x = -13.33333333
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